(Solve word problems involving systems of linear equations)
On Monday, Sally paid P.92.00 for 3 hotdogs sandwiches and 3 cheeseburgers.
The next day her sister April bought 4 hotdog sandwiches and 1 cheeseburger for P.89.00 Help the two sisters find the cost of a single hotdog sandwich and a single cheeseburger
On Monday, Sally paid P.92.00 for 3 hotdogs sandwiches and 3 cheeseburgers.
The next day her sister April bought 4 hotdog sandwiches and 1 cheeseburger for P.89.00 Help the two sisters find the cost of a single hotdog sandwich and a single cheeseburger
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(Solve word problems involving systems of linear equations)
Problem:
On Monday, Sally paid P92.00 for 3 hotdogs sandwiches and 3 cheeseburgers.
The next day her sister April bought 4 hotdog sandwiches and 1 cheeseburger for P89.00 Help the two sisters find the cost of a single hotdog sandwich and a single cheeseburger
Solution:
Let x be the cost of hotdog
Let y be the cost of chizburgers
3x + 3y = 92
4x + y = 89
3x + 3y = 92
(4x + y = 89)(3)
3x + 3y = 92
12x + 3y = 267
──────────
-9x = -175
x = 19.444
4x + y = 89
4(19.444) + y = 89
77.776 + y = 89
y = 89 - 77.776
y = 11.22
Checking:
3x + 3y = 92
3(19.444) + 3(11.22) = 92
58.332 + 33.66 = 92
92 = 92
Answer:
hotdog cost = 19.444 php
chizburger = 11.222 php
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